Home
Class 12
MATHS
If a and b are the roots of the equation...

If a and b are the roots of the equation `x^2-7x-1=0`, then the value of `(a^21+b^21+a^17+b^17)/(a^19+b^19)` is equal to ______

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

If a and b are the roots of the equation x^(2)+x+1=0, then a^(2)+b^(2) is equal to

If a and b(!=0) are the roots of the equation x^(2)+ax+b=0 then the least value of x^(2)+ax+b is

If x=(2)/(3) and x=-3 are the roots of the equation ax^(2)+7x+b=0, find the values of a and b.

If a and b are the roots of the equation x^(2) +x+1=0 then a^(2)+b^(2) is equal to

The roots of the equation x^(2)-10x+21=0 are equal the m is

If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) 1 (b) 2 (c) -2 (d) -1

If a,b,c are the roots of the equation 7x^3-25x+42=0 then the value of the expression (a+b)^3+(b+c)^3+(c+a)^3 is

If alpha and beta are the roots of the equation x^2 +x+1 = 0 , the equation whose roots are alpha^19 and beta^7 is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. The number of ordered triplets of the truth values of p, q and r such ...

    Text Solution

    |

  2. The mean of the coefficients of x, x^2 . . . x^7 in the binomial expan...

    Text Solution

    |

  3. If a and b are the roots of the equation x^2-7x-1=0, then the value of...

    Text Solution

    |

  4. Let A=[(0,1,2),(a,0,3),(1,c,0)], where a, c in RR. If A^3=A and the po...

    Text Solution

    |

  5. Let a line l pass through the origin and be perpendicular to the lines...

    Text Solution

    |

  6. In an examination, 5 students have been allotted their seats as per th...

    Text Solution

    |

  7. For m , n gt 0, let alpha(m,n)=int0^2 t^m(1+3t)^n dt. If 11 alpha(10,6...

    Text Solution

    |

  8. If the point (a,(7sqrt3)/3) lies on the curve traced by the mid -point...

    Text Solution

    |

  9. The number of five digit number , greater than 40000 and divisible by ...

    Text Solution

    |

  10. Let C be the circle in the complex plane with center z(0)=(1)/(2)(91+3...

    Text Solution

    |

  11. Let lambda in ZZ,veca=lambdahati+hatj-hatk and vecb=3hati-hatj+2hatk. ...

    Text Solution

    |

  12. If the local maximum value of the function f(x)=((sqrt3e)/(2sinx))^(si...

    Text Solution

    |

  13. Let an be a sequence such that a1+a2+.....+an= (n^2+3n)/((n+1)(n+2)) I...

    Text Solution

    |

  14. Let P((2sqrt3)/(sqrt7),6/(sqrt7)),Q,R,and S be four points on the elli...

    Text Solution

    |

  15. Let D be the domain of the function f(x)=sin^(-1)(log(3x)((6+2log3x)/(...

    Text Solution

    |

  16. Let the plane P: 4x-y+=10 be rotated by an angle pi/2 about its line o...

    Text Solution

    |

  17. The sum ,of the coefficients of the first 50terms in the binomial of (...

    Text Solution

    |

  18. Let y=y(x),y>0, be a solution curve the differential equation (1+x^2)b...

    Text Solution

    |

  19. The atea of the region enclosed by the curve y=x^3 and its tangent at ...

    Text Solution

    |

  20. Two dice A and B are rolled .Let the number obtained on A and B be alp...

    Text Solution

    |